TSTP Solution File: NUM914_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM914_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:07:11 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 44 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 17 ~; 16 |; 11 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 146 ( 13 atm; 67 fun; 14 num; 52 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 40 !; 12 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
tff(f331,plain,
$false,
inference(subsumption_resolution,[],[f290,f329]) ).
tff(f329,plain,
! [X0: $real,X1: $real] : ~ $less(X0,X1),
inference(evaluation,[],[f328]) ).
tff(f328,plain,
! [X0: $real,X1: $real] :
( $less(0.0,0.0)
| ~ $less(X0,X1) ),
inference(forward_demodulation,[],[f250,f246]) ).
tff(f246,plain,
! [X20: $real] : ( 0.0 = X20 ),
inference(duplicate_literal_removal,[],[f225]) ).
tff(f225,plain,
! [X20: $real] :
( ( 0.0 = X20 )
| ( 0.0 = X20 ) ),
inference(superposition,[],[f107,f28]) ).
tff(f28,plain,
! [X0: $real] : ( $sum(0.0,X0) = X0 ),
inference(superposition,[],[f6,f4]) ).
tff(f4,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f6,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f107,plain,
! [X0: $real,X1: $real] :
( ( $sum(X0,X1) = X0 )
| ( 0.0 = X1 ) ),
inference(superposition,[],[f20,f8]) ).
tff(f8,plain,
! [X0: $real] : ( $sum(X0,$uminus(X0)) = 0.0 ),
introduced(theory_axiom_145,[]) ).
tff(f20,plain,
! [X2: $real,X0: $real,X1: $real] :
( ( $sum(X1,$uminus(X2)) = X0 )
| ( $sum(X2,X0) = X1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: $real,X1: $real,X2: $real] :
( ( ( $sum(X2,X0) != X1 )
| ( $sum(X1,$uminus(X0)) != X2 )
| ( $sum(X1,$uminus(X2)) != X0 ) )
& ( ( $sum(X2,X0) = X1 )
| ( ( $sum(X1,$uminus(X0)) = X2 )
& ( $sum(X1,$uminus(X2)) = X0 ) ) ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X2: $real,X1: $real,X0: $real] :
( ( ( $sum(X0,X2) != X1 )
| ( $sum(X1,$uminus(X2)) != X0 )
| ( $sum(X1,$uminus(X0)) != X2 ) )
& ( ( $sum(X0,X2) = X1 )
| ( ( $sum(X1,$uminus(X2)) = X0 )
& ( $sum(X1,$uminus(X0)) = X2 ) ) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
! [X2: $real,X1: $real,X0: $real] :
( ( ( $sum(X0,X2) != X1 )
| ( $sum(X1,$uminus(X2)) != X0 )
| ( $sum(X1,$uminus(X0)) != X2 ) )
& ( ( $sum(X0,X2) = X1 )
| ( ( $sum(X1,$uminus(X2)) = X0 )
& ( $sum(X1,$uminus(X0)) = X2 ) ) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X2: $real,X1: $real,X0: $real] :
( ( ( $sum(X1,$uminus(X2)) = X0 )
& ( $sum(X1,$uminus(X0)) = X2 ) )
<~> ( $sum(X0,X2) = X1 ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ? [X0: $real,X2: $real,X1: $real] :
( ( $sum(X0,X2) = X1 )
<=> ( ( $sum(X1,$uminus(X2)) = X0 )
& ( $sum(X1,$uminus(X0)) = X2 ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ? [X0: $real,X2: $real,X1: $real] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $real,X2: $real,X1: $real] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $real,X2: $real,X1: $real] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_2) ).
tff(f250,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(0.0,$sum(X1,X2)) ),
inference(backward_demodulation,[],[f12,f246]) ).
tff(f12,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f290,plain,
! [X1: $real] : $less(X1,0.0),
inference(backward_demodulation,[],[f42,f246]) ).
tff(f42,plain,
! [X1: $real] : $less(X1,$sum(1.0,X1)),
inference(superposition,[],[f29,f4]) ).
tff(f29,plain,
! [X0: $real] : $less(X0,$sum(X0,1.0)),
inference(resolution,[],[f13,f9]) ).
tff(f9,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f13,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(X0,1.0))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM914=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 09:30:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (2974)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (2958)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (2958)Instruction limit reached!
% 0.20/0.53 % (2958)------------------------------
% 0.20/0.53 % (2958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2966)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (2958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2958)Termination reason: Unknown
% 0.20/0.54 % (2958)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (2958)Memory used [KB]: 5373
% 0.20/0.54 % (2958)Time elapsed: 0.113 s
% 0.20/0.54 % (2958)Instructions burned: 3 (million)
% 0.20/0.54 % (2958)------------------------------
% 0.20/0.54 % (2958)------------------------------
% 0.20/0.54 % (2964)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (2967)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (2975)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (2956)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (2956)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.55 % (2956)Terminated due to inappropriate strategy.
% 0.20/0.55 % (2956)------------------------------
% 0.20/0.55 % (2956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (2956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (2956)Termination reason: Inappropriate
% 0.20/0.55
% 0.20/0.55 % (2956)Memory used [KB]: 895
% 0.20/0.55 % (2956)Time elapsed: 0.002 s
% 0.20/0.55 % (2956)Instructions burned: 1 (million)
% 0.20/0.55 % (2956)------------------------------
% 0.20/0.55 % (2956)------------------------------
% 0.20/0.55 % (2959)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (2972)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55 % (2951)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (2967)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.56 % (2954)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (2953)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (2955)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.56 % (2952)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.56 % (2974)First to succeed.
% 0.20/0.56 % (2962)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56 % (2967)Terminated due to inappropriate strategy.
% 0.20/0.56 % (2967)------------------------------
% 0.20/0.56 % (2967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (2967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (2967)Termination reason: Inappropriate
% 0.20/0.56
% 0.20/0.56 % (2967)Memory used [KB]: 895
% 0.20/0.56 % (2967)Time elapsed: 0.005 s
% 0.20/0.56 % (2967)Instructions burned: 2 (million)
% 0.20/0.56 % (2967)------------------------------
% 0.20/0.56 % (2967)------------------------------
% 0.20/0.56 % (2974)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (2974)------------------------------
% 0.20/0.56 % (2974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (2974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (2974)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (2974)Memory used [KB]: 5500
% 0.20/0.56 % (2974)Time elapsed: 0.137 s
% 0.20/0.56 % (2974)Instructions burned: 17 (million)
% 0.20/0.56 % (2974)------------------------------
% 0.20/0.56 % (2974)------------------------------
% 0.20/0.56 % (2949)Success in time 0.207 s
%------------------------------------------------------------------------------